Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
189 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 189 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 39. C9×C16 | Q8 | semidirect |
| 139. C16 | Dic18 | semidirect |
| 149. C9 | #2183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×Dic18 | 2 |
| C9×#346 | 2 |
| #10588179 | 2 |
| Dic9⋊C16 | 2 |
| C16×Dic9 | 2 |
| C4⋊(C9⋊C16) | 2 |
| #69068 | 3 |